Reflection: Developing a Conceptual Understanding Complex Numbers and Trigonometry - Section 2: Finding the Trigonometric Form of a Compex Number

In this lesson I decided to start with a specific example to develop and then move to generalize and develop a formula for writing a complex number in trigonometric form.

As I designed the lesson I had to determine what would help students understand the material the best. I used many mathematical practices as I developed the lesson. I began by determining what the goal of the lesson. Next I looked at what ideas students would need to understand to meet the goal.

For this lesson I realized that the process used to find the trigonometric form is the same as finding the component form for vectors. Seeing how the process made me consider how I could help the students see the similarity in the process. I also thought about the prior knowledge of the students.

For students looking at a specific problem is easier than the more general rules. By working and discussing a specific problem the students are then able to take the process and write a the general formula.

The process I use when writing a lesson is the process I want students to use as they learn new material.

How I developed this lesson
Developing a Conceptual Understanding: How I developed this lesson

Complex Numbers and Trigonometry

Unit 11: Vectors and Complex Numbers
Lesson 6 of 11

Big Idea: How is it possible to write a complex number using trigonometric functions?

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Standards:
Subject(s):
Math, Precalculus and Calculus, complex numbers, Trigonometric form of complex numbers, Polar form of complex numbers, Operations with complex number
45 minutes

Katharine Sparks

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